Find the gradient of ϕ = z sin y − x z at the point ( 2 , π / 2 , − 1 ) . Starting at this point, in what direction is ϕ decreasing most rapidly? Find the derivative of ϕ in the direction 2 i + 3 j .
Find the gradient of ϕ = z sin y − x z at the point ( 2 , π / 2 , − 1 ) . Starting at this point, in what direction is ϕ decreasing most rapidly? Find the derivative of ϕ in the direction 2 i + 3 j .
Find the gradient of
ϕ
=
z
sin
y
−
x
z
at the point
(
2
,
π
/
2
,
−
1
)
.
Starting at this point, in what direction is
ϕ
decreasing most rapidly? Find the derivative of
ϕ
in the direction
2
i
+
3
j
.
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